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Finding the Fourth Proportional to 3,409.80, 4,705.39 and 1,897.35

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Solution

The fourth proportional to 3,409.80, 4,705.39 and 1,897.35 is: 2,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.80 : 4,705.39 = 1,897.35 : x
  2. Step 2: Convert to fraction form
    3,409.80/4,705.39 = 1,897.35/x
  3. Step 3: Cross multiply
    3,409.80x = 4,705.39 × 1,897.35
  4. Step 4: Simplify right side
    3,409.80x = 8,927,771.72
  5. Step 5: Solve for x
    x = 8,927,771.72/3,409.80
  6. Step 6: Final answer
    x = 2,618.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.